What is he best known for?
The fields of study he is best known for:
- Topology
- Pure mathematics
- Algebra
Wolfgang Lück focuses on Combinatorics, Farrell–Jones conjecture, Discrete mathematics, Pure mathematics and Betti number.
His Combinatorics study combines topics from a wide range of disciplines, such as Group and Algebraic K-theory.
The Farrell–Jones conjecture study combines topics in areas such as Lie group, Borel conjecture and Discrete group.
His Discrete mathematics research incorporates elements of Manifold and Type.
His K-theory, Equivariant map, Singular homology and Universal property study, which is part of a larger body of work in Pure mathematics, is frequently linked to Category of topological spaces, bridging the gap between disciplines.
The study incorporates disciplines such as Chain, Exact sequence, Von Neumann algebra and Fundamental group in addition to Betti number.
His most cited work include:
- L2-Invariants: Theory and Applications to Geometry and K-Theory (394 citations)
- Spaces over a category and assembly maps in isomorphism conjectures in K- and L-theory. (303 citations)
- Transformation groups and algebraic K-theory (282 citations)
What are the main themes of his work throughout his whole career to date?
Wolfgang Lück spends much of his time researching Pure mathematics, Combinatorics, Discrete mathematics, Conjecture and Equivariant map.
Wolfgang Lück frequently studies issues relating to Group ring and Pure mathematics.
His Combinatorics study combines topics in areas such as Farrell–Jones conjecture, Algebraic K-theory and Group.
His Discrete mathematics research integrates issues from Ring, Discrete group, Classifying space and Locally finite group.
His Conjecture study integrates concerns from other disciplines, such as Dimension, Free product, Riemannian manifold, Isomorphism and L-theory.
In his research on the topic of Equivariant map, Algebraic number is strongly related with Homology.
He most often published in these fields:
- Pure mathematics (51.45%)
- Combinatorics (30.06%)
- Discrete mathematics (21.39%)
What were the highlights of his more recent work (between 2013-2021)?
- Pure mathematics (51.45%)
- Combinatorics (30.06%)
- Torsion (11.56%)
In recent papers he was focusing on the following fields of study:
His main research concerns Pure mathematics, Combinatorics, Torsion, Conjecture and Cohomology.
His Pure mathematics study frequently links to related topics such as Algebraic K-theory.
His work in Algebraic K-theory addresses issues such as Cellular homology, which are connected to fields such as Discrete mathematics.
Wolfgang Lück has included themes like Linear independence, Upper and lower bounds and L-theory in his Combinatorics study.
Wolfgang Lück interconnects Farrell–Jones conjecture and Lie group in the investigation of issues within Conjecture.
His work carried out in the field of Cohomology brings together such families of science as Bundle, Manifold, Diffeomorphism and Block.
Between 2013 and 2021, his most popular works were:
- The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups (55 citations)
- K- and L-theory of group rings over GL n (Z) (43 citations)
- The Farrell–Jones conjecture for arbitrary lattices in virtually connected Lie groups (29 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Topology
- Algebra
His primary areas of investigation include Pure mathematics, Farrell–Jones conjecture, Torsion, Combinatorics and Conjecture.
His study in the field of Homotopy and Betti number is also linked to topics like Principal.
His biological study spans a wide range of topics, including Functor, Cellular homology, Hochschild homology, Lie group and Cyclic homology.
He focuses mostly in the field of Torsion, narrowing it down to matters related to Thurston norm and, in some cases, Mathematical analysis and Invariant.
His work in the fields of Combinatorics, such as Abelian group, overlaps with other areas such as Independent vector.
His studies in Conjecture integrate themes in fields like Group ring and Homology.
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